220413440 has 160 divisors (see below), whose sum is σ = 587774880. Its totient is φ = 78741504.

The previous prime is 220413437. The next prime is 220413443. The reversal of 220413440 is 44314022.

It is an interprime number because it is at equal distance from previous prime (220413437) and next prime (220413443).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220413443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231271 + ... + 1231449.

It is an arithmetic number, because the mean of its divisors is an integer number (3673593).

Almost surely, 2^220413440 is an apocalyptic number.

220413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

220413440 is an abundant number, since it is smaller than the sum of its proper divisors (367361440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220413440 is a wasteful number, since it uses less digits than its factorization.

220413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 220413440 is about 14846.3274920096. The cubic root of 220413440 is about 604.0589974971.

Adding to 220413440 its reverse (44314022), we get a palindrome (264727462).

The spelling of 220413440 in words is "two hundred twenty million, four hundred thirteen thousand, four hundred forty".